Subject: [mg96444] Re: Definition of the similarity in a set of integers

From: "Sjoerd C. de Vries" <sjoerd.c.devries at gmail.com>

Date: Fri, 13 Feb 2009 03:47:48 -0500 (EST)

References: <gn11rc$8bq$1@smc.vnet.net>

Assuming S1 and S2 contain the same amount of integers:
EuclideanDistance[S1,S2]^2/Length[S1]
or Correlation[S1,S2]
Cheers -- Sjoerd
On Feb 12, 1:40 pm, Ryan Markley <over... at gmail.com> wrote:
> Hello I have two sets of integers eg
>
> S1 = (25,14,32,45) and S2 = (26,12,31,48)
>
> I want to define an operation similar to the variance that give me how
> similar both sets are, for example in the above example for both sets
> the results I have to get need to be similar because both sets are
> similar.
>
> The problem with the variance is this
>
> S1 = (25,1,1,1) and S2 = (1,1,25,1) these two sets have the same
> variance but they are completly different. What mathematical operation
> can I use to do what I am looking for.
>
> Thanks a lot in advance.